16448947200 has 1188 divisors, whose sum is σ = 72225234432. Its totient is φ = 3561062400.

The previous prime is 16448947199. The next prime is 16448947219. The reversal of 16448947200 is 274984461.

16448947200 is a `hidden beast` number, since 164 + 489 + 4 + 7 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 349977577 + ... + 349977623.

Almost surely, 2^16448947200 is an apocalyptic number.

16448947200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16448947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36112617216).

16448947200 is an abundant number, since it is smaller than the sum of its proper divisors (55776287232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16448947200 is a wasteful number, since it uses less digits than its factorization.

16448947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16448947200 in words is "sixteen billion, four hundred forty-eight million, nine hundred forty-seven thousand, two hundred".